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Finding the Fourth Proportional to 421,134,706.20, 631,702,059.30 and 421,134,706.20

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Solution

The fourth proportional to 421,134,706.20, 631,702,059.30 and 421,134,706.20 is: 631,702,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,134,706.20 : 631,702,059.30 = 421,134,706.20 : x
  2. Step 2: Convert to fraction form
    421,134,706.20/631,702,059.30 = 421,134,706.20/x
  3. Step 3: Cross multiply
    421,134,706.20x = 631,702,059.30 × 421,134,706.20
  4. Step 4: Simplify right side
    421,134,706.20x = 266,031,661,149,240,448
  5. Step 5: Solve for x
    x = 266,031,661,149,240,448/421,134,706.20
  6. Step 6: Final answer
    x = 631,702,059.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.